Nonlinear oscillations of cables under harmonic loading using analytical and finite element models.

DOI10.1016/j.cma.2003.09.008zbMath1080.74031OpenAlexW2150376355MaRDI QIDQ1430717

Fabrizio Vestroni, Federico Perotti, Luca Martinelli, Vincenzo Gattulli

Publication date: 27 May 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2003.09.008

zbMATH Keywords

bifurcationsreduced order models

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (11)

Nonlinear vibration of shallow cables with semiactive tuned mass damper ⋮ Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. I: Theoretical formulation and model validation ⋮ Experimental study on hybrid control of multimodal cable vibrations ⋮ Vibration Dynamics of an Inclined Cable Excited Near Its Second Natural Frequency ⋮ Planar nonlinear galloping of iced transmission lines under forced self-excitation conditions ⋮ Nonlinear analysis of an elastic cable under harmonic excitation ⋮ Planar nonlinear dynamic behavior of a cable-stayed bridge under excitation of tower motion ⋮ Passive control of one degree of freedom nonlinear quadratic oscillator under combination resonance ⋮ Linear and nonlinear dynamics of suspended cable considering bending stiffness ⋮ Nonlinear State Observation for Cable Dynamics ⋮ Analytical solutions for resonant response of suspended cables subjected to external excitation

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Multimode Interactions in Suspended Cables
• Methods for dimension reduction and their application in nonlinear dynamics
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